Non-Homogeneous Media and Vibration Theory

Distributions and Sobolev spaces....Pages 1-6
Operators in Banach spaces....Pages 7-23
Examples of boundary value problems....Pages 24-30
Semigroups and laplace transform....Pages 31-44
Homogenization of second order equations....Pages 45-83
Homogenization in elasticity and electromagnetism....Pages 84-128
Fluid flow in porous media....Pages 129-157
Vibration of mixtures of solids and fluids....Pages 158-190
Examples of perturbations for elliptic problems....Pages 191-205
The Trotter-Kato theorem and related topics....Pages 206-218
Spectral perturbation. Case of isolated eigenvalues....Pages 219-241
Perturbation of spectral families and applications to selfadjoint eigenvalue problems....Pages 242-259
Stiff problems in constant and varialbe domains....Pages 260-280
Averaging and two-scale methods....Pages 281-292
Generalities and potential method....Pages 293-324
Functional methods....Pages 325-348
Scattering problems depending on a parameter....Pages 349-367